Adding 4-digit Numbers with Regrouping

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We will learn adding
4-digit numbers with regrouping.

Addition of 4-digit numbers can be done in the same way as
we do addition of smaller numbers. We first arrange the numbers one below the
other in place value columns and then we start adding from the ones place and regroup,
if required as shown in the following examples.

Solved Examples on Adding 4-digit Numbers with Regrouping:

1. Add 6196 and 3025.

Solution:

Step I: Add the ones. 6 + 5 = 11 ones = 1 ten and 1 one.
Write 1 in ones column and carry 1 to the tens column.

Step II: Add the tens. 9 + 2 + 1 (carry over) = 12 tens. 12
tens = 1 hundreds and 2 tens. Write 2 in tens column and carry 1 to the
hundreds column.

Step III: Add the hundreds. 1 + 0 + 1 (carry over) = 2
hundreds. Write 2 in the hundreds column.

Step IV: Add the thousands. 6 + 3 = 9 thousands. Write 9 in the
thousands column.

$Adding 4-digit Numbers with Regrouping$

Hence, 6196 + 3025 = 9221

2. Add 3018, 5123 and 1762.

Solution:

Step I: Add the ones. 8 + 3 + 2 = 13 ones = 1 ten and 3 one.
Write 3 in ones column and carry 1 to the tens column.

Step II: Add the tens. 1 + 2 + 6 + 1 (carry over) = 10 tens.
10 tens = 1 hundreds and 0 tens. Write 0 in tens column and carry 1 to the
hundreds column.

Step III: Add the hundreds. 0 + 1 + 7 + 1 (carry over) = 9
hundreds. Write 9 in the hundreds column.

Step IV: Add the thousands. 3 + 5 + 1 = 9 thousands. Write 9
in the thousands column.

$Adding Four-digit Numbers$

Hence, 3018 + 5123 + 1762 = 9903

3. Add 5,386 and 3,927.

Step I: Arrange the numbers in columns.

	Th	H	T	O
	5	3	8	6
+	3	9	2	7

Step II: Adding ones, we have:

6 ones + 7 ones = 13 ones = 1 ten + 3 ones.

Carry over 1 to tens column and write 3 under ones column.

	Th	H	T	O
			1
	5	3	8	6
+	3	9	2	7

Step III: Adding tens, we have:

1 ten (carried) + 8 tens + 2 tens = 11 tens = 1 hundred + 1 ten.

Carry over 1 to hundreds column and write 1 under tens column.

	Th	H	T	O
		1	1
	5	3	8	6
+	3	9	2	7

Step IV: Adding hundreds, we have:

1 hundred (carried) + 3 hundreds + 9 hundreds = 13 hundreds

= 1 thousand + 3 hundreds.

Carry over 1 to thousands column and write 3 under hundreds column.

	Th	H	T	O
	1	1	1
	5	3	8	6
+	3	9	2	7

Step V: Adding thousands, we have

1 thousand (carried) + 5 thousands + 3 thousands = 9 thousands

	Th	H	T	O
	1	1	1
	5	3	8	6
+	3	9	2	7

Hence, 5,386 + 3,927 = 9,313 (Nine thousand three hundred thirteen).

Worksheet on Adding 4-digit Numbers with Regrouping:

Questions and Answers on Adding 4-digit Numbers with Regrouping:

I. Add the given numbers:

(i) 3571 and 5237

(ii) 4218 and 3573

(iii) 2184, 1096 and 3840

(iv) 4637 and 4645

(v) 3962 and 3057

(vi) 1489, 2801 and 5100

(vii) 2263 and 6761

(viii) 5566 and 3377

(ix) 8059, 401 and 121

(x) 4367 and 3818

(xi) 7618 and 1494

(xii) 327, 7054 and 37

Answers:

I. (i) 8808

(ii) 7791

(iii) 7120

(iv) 9282

(v) 7019

(vi) 9390

(vii) 9024

(viii) 8943

(ix) 8581

(x) 8185

(xi) 9112

(xii) 7418

FAQs on Adding 4-digit Numbers with Regrouping:

Answer:

Regrouping means carrying numbers to the next place value when the sum in a column is greater than 9.

Answer:

Arrange numbers by place value, add from right to left, and carry when needed.

Answer:

Regrouping is also called carrying in addition.

Answer:

It helps add larger numbers correctly using place values.

About Author

$Priyanka Ghosh, Founder of Math Only Math$

Written by Priyanka Ghosh
Mathematics Educator | Founder of Math Only Math

Priyanka Ghosh has been teaching elementary and middle-school mathematics for over 12 years and specializes in creating simple, child-friendly math lessons and worksheets.

4th Grade Math Activities

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